| Exam Board | OCR MEI |
|---|---|
| Module | FP1 (Further Pure Mathematics 1) |
| Year | 2015 |
| Session | June |
| Marks | 6 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Matrices |
| Type | Solving linear systems using matrices |
| Difficulty | Moderate -0.8 This is a straightforward application of matrix inverse to solve a 2×2 linear system. Students need only to find M^(-1) and multiply by the constant vector—a routine calculation requiring no problem-solving insight, making it easier than average but not trivial due to the arithmetic involved. |
| Spec | 4.03r Solve simultaneous equations: using inverse matrix |
1 Given that $\mathbf { M } \binom { x } { y } = \binom { 1 } { 3 }$, where $\mathbf { M } = \left( \begin{array} { r r } 4 & - 3 \\ 8 & 21 \end{array} \right)$, find $x$ and $y$.
\hfill \mbox{\textit{OCR MEI FP1 2015 Q1 [6]}}